On holographic duals of certain isolated weighted homogeneous Gorenstein cDV singularities
Abstract
A bstract We employ a novel approach, based on homological mirror symmetry for Landau-Ginzburg models, to demonstrate the non-existence of crepant resolutions for certain weighted homogeneous Gorenstein compound Du Val singularities. Physically, this implies that such singularities cannot serve as holographic backgrounds for four-dimensional $$\mathcal{N}=1$$ superconformal quiver gauge theories realized on the worldvolume of a large number of D3-branes placed at the singular locus. This is confirmed by enumerating all consistent quiver gauge theories.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Geometry and complex manifolds
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 26 January 2026
- Language
- EN